/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q3E In problems 1聽-聽8Classify th... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Q3E (page 64)

In problems 1-8Classify the equation as separable, linear, exact, or none of these. Notice that some equations may have more than one classification.

-2y-y2dx+(3+2x-x2)dy=0

Short Answer

Expert verified

The equation is separable.

Step by step solution

01

Find if the equation is separable

Here

-2y-y2dx+(3+2x-x2)dy=0dydx=-2y-y2x2-2x-3

This equation can be written in the form as g(x) h(y).so, this equation is separable.

02

Determine if the equation is linear

This equation is not linear of y and x because the RHS is not linear with respect to y and x respectively.

03

Evaluate whether the equation is exact

The condition for exact is 鈭�M鈭�y=鈭�N鈭�x.

M(x,y)=-2y-y2N(x,y)=3+2x-x2

鈭�M鈭�y=-1-y-2y-y2鈭�N鈭�x=2-2x鈭�M鈭�y鈮�鈭�N鈭�x

This equation is not exact.

Hence, the equation is separable.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

In problem 7-16, solve the equation.dydx=3x21+y232

In problems, 1-8 identify (do not solve) the equation as homogeneous, Bernoulli, linear coefficients, or of the form y'=G(ax+by).dydx+yx=x3y2

Question: In Problems 1-30, solve the equation.

y-xdx+x+ydy=0

In problems identify 1-18(do not solve) the equation as homogeneous, Bernoulli, linear coefficients, or of the form y'=G(ax+by).(y3-胃y2)d胃+2胃2ydy=0.

In problems 1-8 identify (do not solve) the equation as homogeneous, Bernoulli, linear coefficients, or of the form y'=G(ax+by).

(y3-胃测2)诲胃+2胃2ydy=0
See all solutions

Recommended explanations on Math Textbooks

Mechanics Maths

Read Explanation

Statistics

Read Explanation

Geometry

Read Explanation

Probability and Statistics

Read Explanation

Calculus

Read Explanation

Pure Maths

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.